Simulation and Optimization of the Design of Focusing Dielectric Lenses based on Cartesian Ovals with Physical Optics

This paper presents the design of a focusing dielectric lens, which is described by a so-called Cartesian oval. The mathematical model of Cartesian ovals is introduced briefly. Next, a physical optics (PO) approach for the simulation of the electric field outside of the antenna is presented. Simulation results at 80 GHz are shown. The agreement between a full wave reference method and the proposed method is good, especially in the focal region. The simulation time is decreased significantly by the asymptotic PO approach compared to the finite integration technique. Eventually, a lens design is optimized with the PO to achieve the desired focal point.